ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH THE MANNING-ROSEN POTENTIAL PLUS A RING-SHAPED-LIKE POTENTIAL

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Ahmadov H. I., AYDIN C., Huseynova N. S., UZUN Ö.

INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, cilt.22, sa.10, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 10
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1142/s0218301313500729
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Nikiforov-Uvarov method, Manning-Rosen and ring-shaped potential, L-STATE, INTEGRALS
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

The analytical solution of the Schrodinger equation for the Manning-Rosen potential plus a ring-shaped-like potential is obtained by applying the Nikiforov-Uvarov method by using the improved approximation scheme to the centrifugal potential for arbitrary l states. The energy levels are worked out and the corresponding normalized eigenfunctions are obtained in terms of orthogonal polynomials for arbitrary l states.